Description
Front Tracking for Hyperbolic Conservation Laws, 2002
Applied Mathematical Sciences Series, Vol. 152
Authors: Holden Helge, Risebro Nils H.
Language: EnglishKeywords
YellowSale2006; conservation laws; front tracking; hyperbolic partial differential equations; Cauchy problem; conservation law; convergence; differential equation; hyperbolic partial differential equation; Mathematica; measure; nonlinear partial differential equation; numerical method; partial differential equation; solution; stability
Approximative price 52.74 €
In Print (Delivery period: 15 days).
Add to cart the book of Holden Helge, Risebro Nils H.Publication date: 08-2014
264 p. · 15.5x23.5 cm · Paperback
Approximative price 93.64 €
Subject to availability at the publisher.
Add to cart the book of Holden Helge, Risebro Nils H.Publication date: 07-2002
362 p. · 16x24 cm · Hardback
Description
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This book presents the theory of hyperbolic conservation laws from basic theory to the forefront of research.
The text treats the theory of scalar conservation laws in one dimension in detail, showing the stability of the Cauchy problem using front tracking. The extension to multidimensional scalar conservation laws is obtained using dimensional splitting. The book includes detailed discussion of the recent proof of well-posedness of the Cauchy problem for one-dimensional hyperbolic conservation laws, and a chapter on traditional finite difference methods for hyperbolic conservation laws with error estimates and a section on measure valued solutions.
Only book on front tracking which covers these new results
Very well suited for graduate students
Includes supplementary material: sn.pub/extras